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Finding the Fourth Proportional to 385,830.42, 532,440.22 and 213,748.02

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Solution

The fourth proportional to 385,830.42, 532,440.22 and 213,748.02 is: 294,969.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,830.42 : 532,440.22 = 213,748.02 : x
  2. Step 2: Convert to fraction form
    385,830.42/532,440.22 = 213,748.02/x
  3. Step 3: Cross multiply
    385,830.42x = 532,440.22 × 213,748.02
  4. Step 4: Simplify right side
    385,830.42x = 113,808,042,793.36
  5. Step 5: Solve for x
    x = 113,808,042,793.36/385,830.42
  6. Step 6: Final answer
    x = 294,969.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.